Graph several points on the x-axis . what is the value of the ordinate...
**Graphing Points on the X-Axis**
To graph several points on the x-axis, we need to understand the concept of coordinates and how they relate to the x-axis. In a coordinate plane, points are represented by an ordered pair (x, y), where x represents the value on the x-axis and y represents the value on the y-axis.
However, when we are graphing points on the x-axis, the y-coordinate remains constant for all points. This is because the x-axis is a horizontal line with a y-coordinate of 0. Therefore, the value of the ordinate (y-coordinate) for every point on the x-axis is always 0.
**Points on the X-Axis**
Let's consider a few examples to illustrate this concept:
1. Point A: (2, 0)
- The x-coordinate is 2, which means the point is located 2 units to the right of the origin.
- The y-coordinate is 0, indicating that the point lies on the x-axis.
2. Point B: (-3, 0)
- The x-coordinate is -3, which means the point is located 3 units to the left of the origin.
- The y-coordinate is 0, indicating that the point lies on the x-axis.
3. Point C: (0, 0)
- The x-coordinate is 0, which means the point is located at the origin (where the x-axis and y-axis intersect).
- The y-coordinate is 0, indicating that the point lies on the x-axis.
4. Point D: (5, 0)
- The x-coordinate is 5, which means the point is located 5 units to the right of the origin.
- The y-coordinate is 0, indicating that the point lies on the x-axis.
As we can see from these examples, the y-coordinate for all points on the x-axis is always 0. This is because the x-axis is a horizontal line that does not extend in the vertical direction, resulting in a constant y-coordinate value.
In summary, when graphing points on the x-axis, the value of the ordinate (y-coordinate) for every point is always 0. The x-coordinate determines the position of the points along the x-axis, while the y-coordinate remains constant at 0 for all points on the x-axis.
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